Consider the equation. 3
4
(
8
x
−
4
)
=
4
−
1
2
(
6
+
2
x
)
If the equation is solved correctly, which could be the next possible step?

Select ALL that apply.

Distribute
1
2
, resulting in
3
4
(
8
x
−
4
)
=
4
−
3
+
x
.
Distribute 1 half, resulting in 3 fourths times open paren 8 x minus 4 close paren is equal to 4 minus 3 plus x.

Distribute
3
4
, resulting in
6
x
−
3
=
4
−
1
2
(
6
+
2
x
)
.
Distribute 3 fourths, resulting in 6 x minus 3 is equal to 4 minus 1 half times open paren 6 plus 2 x close paren.

Multiply the entire equation by
2
, resulting in
3
(
8
x
−
4
)
=
8
−
(
6
+
2
x
)
.
Multiply the entire equation by 2, resulting in 3 times open paren 8 x minus 4 close paren is equal to 8 minus open paren 6 plus 2 x close paren.

Multiply the entire equation by
4
, resulting in
3
(
8
x
−
4
)
=
16
−
2
(
6
+
2
x
)
.
Multiply the entire equation by 4, resulting in 3 times open paren 8 x minus 4 close paren is equal to 16 minus 2 times open paren 6 plus 2 x close paren.

Subtract
1
2
from
4
, resulting in
3
4
(
8
x
−
4
)
=
3
1
2
(
6
+
2
x
)
.
Subtract 1 half from 4, resulting in 3 fourths times open paren 8 x minus 4 close paren is equal to 3 and 1 half times open paren 6 plus 2 x close parenthesis.

Distribute
1
2
, resulting in
3
4
(
8
x
−
4
)
=
4
−
3
+
x
.
Distribute 1 half, resulting in 3 fourths times open paren 8 x minus 4 close paren is equal to 4 minus 3 plus x.

Distribute
3
4
, resulting in
6
x
−
3
=
4
−
1
2
(
6
+
2
x
)
.
Distribute 3 fourths, resulting in 6 x minus 3 is equal to 4 minus 1 half times open paren 6 plus 2 x close paren.

Multiply the entire equation by
2
, resulting in
3
(
8
x
−
4
)
=
8
−
(
6
+
2
x
)
.
Multiply the entire equation by 2, resulting in 3 times open paren 8 x minus 4 close paren is equal to 8 minus open paren 6 plus 2 x close paren.

Multiply the entire equation by
4
, resulting in
3
(
8
x
−
4
)
=
16
−
2
(
6
+
2
x
)
.
Multiply the entire equation by 4, resulting in 3 times open paren 8 x minus 4 close paren is equal to 16 minus 2 times open paren 6 plus 2 x close paren.

Subtract
1
2
from
4
, resulting in
3
4
(
8
x
−
4
)
=
3
1
2
(
6
+
2
x
)
.
Subtract 1 half from 4, resulting in 3 fourths times open paren 8 x minus 4 close paren is equal to 3 and 1 half times open paren 6 plus 2 x close paren.